which number line represents the solutions to |x + 4| = 2?

Explanation:

Step1: Solve absolute - value equation

The equation (|x + 4|=2) implies (x + 4=2) or (x + 4=-2).

Step2: Solve (x + 4 = 2)

Subtract 4 from both sides: (x=2 - 4=-2).

Step3: Solve (x + 4=-2)

Subtract 4 from both sides: (x=-2 - 4=-6).

Answer:

The number line with points at -6 and -2 represents the solutions. So the first number line (with points at -6 and -2) is the correct one.